Clemente Cesarano, Gerardo Maria Cennamo, Luca Placidi, "Humbert Polynomials and Functions in Terms of Hermite Polynomials Towards Applications to Wave Propagation," WSEAS Transactions on Mathematics, vol. 13, pp. 595-602, 2014, DOI:
Clemente Cesarano, Gerardo Maria Cennamo, Luca Placidi. Humbert Polynomials and Functions in Terms of Hermite Polynomials Towards Applications to Wave Propagation.
WSEAS Transactions on Mathematics. 2014;13:595-602.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Humbert Polynomials and Functions in Terms of Hermite Polynomials Towards Applications to Wave Propagation
Authors: , ,
Abstract: By starting from the standard definitions of the incomplete two-variable Hermite polynomials, we propose non-trivial generalizations and we show some applications to the Bessel-type functions as the Humbert functions. We also present a generalization of the Laguerre polynomials in the same context of the incomplete-type and we use these to obtain relevant operational techniques for the Humbert-type functions. Final considerations are inserted to include the problem of wave propagation in the present theoretical framework.
Keywords:
Hermite Polynomials, Laguerre polynomials, Generating Functions, Orthogonal Polynomials, Humbert polynomials, Humbert Functions, Bessel Functions
Pages: 595-602 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #58 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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